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Finding the Third Proportional to 107,402 and 157,814

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Solution

The third proportional to 107,402 and 157,814 is: 231,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,402 : 157,814 = 157,814 : x
  2. Step 2: Convert to fraction form
    107,402/157,814 = 157,814/x
  3. Step 3: Cross multiply
    107,402x = 157,814 × 157,814
  4. Step 4: Simplify right side
    107,402x = 24,905,258,596
  5. Step 5: Solve for x
    x = 24,905,258,596/107,402
  6. Step 6: Final answer
    x = 231,888.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.